40% of the employees in a factory are workers. All the remaining employees are executives. The annual income of each worker is Rs. 390. The annual income of each executive is Rs. 420. What is the average annual income of all the employees in the factory together?
A. 390
B. 405
C. 408
D. 415
Answer: Option C
Solution(By Examveda Team)
Let X be the number of employees.We are given that 40% of the employees are workers.
Now, 40% of X is $$\frac{{40}}{{100}}$$ × X = 0.4X
Hence, the number of workers is $$\frac{{2{\text{X}}}}{5}$$
All the remaining employees are executives,
so the number of executives equals,
(The number of Employees) $$ - $$ (The number of Workers)
= X $$ - $$ $$\frac{{2{\text{X}}}}{5}$$
= $$\frac{{3{\text{X}}}}{5}$$
The annual income of each worker is Rs. 390.
Hence, the total annual income of all workers together is
= $$\frac{{2{\text{X}}}}{5}$$ × 390 = 156X
Also, the annual income of each executive is Rs.420.
Hence, the total income {of all the executives together is,
= $$\frac{{3{\text{X}}}}{5}$$ × 420 = 252X
Hence, the total income of the employees is,
= 156X + 252X = 408X
The average income of all the employees together = 408
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Comments ( 4 )
Related Questions on Average
A. 125 km/hr
B. 75 km/hr
C. 135 km/hr
D. 120 km/hr
Initial workers was 100
From 100 40% annual income is 390
So 100-40= 60 %
Then 60% annual income is 420 then
60/100×420 +40/100×390= 408 therefore the correct Answer is C .408
100 much easier
It will be easy if we think the total number of employees is= 100
This math will be easy if you are let of all emploees be 100